Answer:
When two numbers get divided, they form a number, this newly formed number is the definition to QUOTIENT.
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.1 is the rational number
Answer:
12, 13, 14
Step-by-step explanation:
Denote the integers as:
x
x+1
x+2
The sum of their squares, so that would be;
(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509
write out the squares
x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509
combine like terms
3x^2 + 6x + 5 = 509
inverse operations
3x^2 + 6x + 5 = 509
-5 -5
3x^2 + 6x = 504
factor
3x^2 + 6x = 504
3 ( x^2 + 2x ) =504
Inverse operations
3 ( x^2 + 2x ) = 504
/3 /3
x^2 + 2x = 168
Factor again
x ( x + 2 ) = 168
At this point, it should be obvious that x is 12 (because 12 * 14 = 168)
So now substitute back into the consecutive numbers
x = 12
x + 1 = 13
x + 2 = 14
You multiply using the multiplication table. Multiplication is one of the four basic operations in arithmetic, along with addition, subtraction, and division. Multiplication can actually be considered repeated addition, and you can solve simple multiplication problems by adding repeatedly. For larger numbers, you'll want to do long multiplication, which breaks the process down into repeated simple multiplication and addition problems. You can also try a shortcut version of long multiplication by splitting the smaller number in the problem into tens and ones, but this works best when the smaller number is between 10 and 19.
Answer:
4/3
Step-by-step explanation:
If the ratio between the volumes of the first and the second cube is 64, the ratio between the sides is the cubic root of the ratio between the volumes, so:
![s1 / s2 = \sqrt[3]{64} = 4](https://tex.z-dn.net/?f=s1%20%2F%20s2%20%3D%20%5Csqrt%5B3%5D%7B64%7D%20%20%3D%204)
Doing the same for the second and third cubes, we have:
![s2/ s3 = \sqrt[3]{1/27} = 1/3](https://tex.z-dn.net/?f=s2%2F%20s3%20%3D%20%5Csqrt%5B3%5D%7B1%2F27%7D%20%20%3D%201%2F3)
So the ratio of the first cube side and the third cube side is:
